Name _______________________________________________________
Date _______________________
NEGATIVE EXPONENTS AND ZERO EXPONENTS
The Negative Exponent Property helps you simplify
expressions that have negative exponents. It states
that you can write a power with a negative exponent
as a fraction with 1 in the numerator and a positive
exponent in the denominator.
The Zero Exponent Property helps you simplify
expressions that have a nonzero base raised to the
zero power. It states that any nonzero base raised
to the zero power is 1.
1
x0 = 1
x –n = x
n
-3
Let's try it! Simplify 8 using the Negative Exponent
Property.
8 –3 = 81
0
Let's try it! Simplify 7 using the Zero Exponent
Property.
70 = 1
3
Try it yourself! Use the properties above to simplify each expression.
3–4 = __________
20 = __________
6–5 = __________
40 = __________
130 = __________
9–3 = __________
12–7 = __________
10 = __________
220 = __________
19–6 = __________
13–2 = __________
2500 = __________
0.80 = __________
20–1 = __________
1.60 = __________
( ) = __________
77–9 = __________
–8
5 = __________
12
7
0
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